If two or more components are connected in parallel they have the same potential difference voltage across their ends. The potential differences across the components are the same in magnitude, and they also have identical polarities. The same voltage is applicable to all circuit components connected in parallel. The total current is the sum of the currents through the individual components, in accordance with Kirchhoff's current law .

The current in each individual resistor is found by Ohm's law . Factoring out the voltage gives:

Itotal = V ( 1/R1 + 1/R2 + ... 1/Rn)

1/Rtotal = 1/R1 + 1/R2 + ... + 1/Rn

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